Geodesic
Weyl law for the volume spectrum
Yevgeny Liokumovich1 ; Fernando C. Marques2 ; André Neves3
1 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA
2 Department of Mathematics, Princeton University, Princeton, NJ
3 Department of Mathematics, University of Chicago, Chicago, IL and Imperial College London, London, UK
Annals of mathematics, Tome 187 (2018) no. 3, pp. 933-961

Voir la notice de l'article provenant de la source Annals of Mathematics website

Given $M$ a Riemannian manifold with (possibly empty) boundary, we show that its volume spectrum $\{\omega _p(M)\}_{p\in \mathbb {N}}$ satisfies a Weyl law that was conjectured by Gromov.

DOI : 10.4007/annals.2018.187.3.7

Yevgeny Liokumovich 1 ; Fernando C. Marques 2 ; André Neves 3

1 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA
2 Department of Mathematics, Princeton University, Princeton, NJ
3 Department of Mathematics, University of Chicago, Chicago, IL and Imperial College London, London, UK 
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Yevgeny Liokumovich; Fernando C. Marques; André Neves. Weyl law for the volume spectrum. Annals of mathematics, Tome 187 (2018) no. 3, pp. 933-961. doi: 10.4007/annals.2018.187.3.7

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